Logarithms Flashcards
Equation for logarithms in logarithmic form
log(small b)n = p
How do we remember the logarithms formula?
“The base raised to what power equals the number?”
Logarithms equation in exponential form
n = b^p
In n=b^p, what is the relationship between n and p?
p is the logarithm of n
When are logarithms used?
With very small, and sometimes very big numbers
Work out log(small2)64 without a calculator, explaining this
“The base raised to what power equals the number?”
2^? = 64
=6
Where can logarithm rules be found?
In the data book
what do we use for log?
In
What is the logx^n = nlogx rule useful for?
To get rid of a power in a formula
Which rule of logarithms can be used to get rid of a power in a formula?
logx^n = nlogx
What happens when log or ln are multiplied together?
They cancel each other out
Which 2 things involved in logarithms cancel each other out when multiplied together?
In or log and e
Is it Ln or In?
It’s an L but lowercase so it looks like an I very confusing I know
Value of e for a decreasing quantity
e-
Value of e for an increasing quantity
e+
What does e- imply?
Decreasing quantity
What does e+ imply?
Increasing quantity
e^0
1
Continuous variable
Has every value in between
Word for powers
Exponents
What do all exponents have to be and why?
Unitless as they’re dimensionless
What do we do to ensure that exponents remain unitless?
They’re cancelled out by making whatever the other exponent that’s multiplied by the other the negative of the other one
E.g - years and years-1
